GCD of 469, 344, 186, 734 Calculator

Given Input numbers are 469, 344, 186, 734

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 469, 344, 186, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 344, 186, 734 is 1.

Therefore, GCD of numbers 469, 344, 186, 734 is 1

Given Input Data is 469, 344, 186, 734

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 469 is 7 x 67

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 734 is 2 x 367

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(469, 344) = 161336

GCD(469, 344) = ( 469 x 344 ) / 161336

GCD(469, 344) = 161336 / 161336

GCD(469, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 186

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 186) = 186

GCD(1, 186) = ( 1 x 186 ) / 186

GCD(1, 186) = 186 / 186

GCD(1, 186) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 469, 344, 186, 734 is 1

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1. What is the GCD of 469, 344, 186, 734?

GCD of 469, 344, 186, 734 is 1

2. Where do I get the detailed procedure to find GCD of 469, 344, 186, 734?

You can find a detailed procedure to find GCD of 469, 344, 186, 734 on our page.

3. How to find GCD of 469, 344, 186, 734 on a calculator?

You can find the GCD of 469, 344, 186, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.